TSTP Solution File: NUM840+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM840+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 06:26:56 EDT 2022
% Result : Theorem 0.82s 1.20s
% Output : Refutation 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM840+1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Thu Jul 7 00:21:28 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.82/1.20 *** allocated 10000 integers for termspace/termends
% 0.82/1.20 *** allocated 10000 integers for clauses
% 0.82/1.20 *** allocated 10000 integers for justifications
% 0.82/1.20 Bliksem 1.12
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Automatic Strategy Selection
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Clauses:
% 0.82/1.20
% 0.82/1.20 { ! less( vd328, vd329 ) }.
% 0.82/1.20 { less( vplus( vd328, vd330 ), vplus( vd329, vd330 ) ) }.
% 0.82/1.20 { ! vplus( vd328, vd330 ) = vplus( vd329, vd330 ), vd328 = vd329 }.
% 0.82/1.20 { ! greater( vplus( vd328, vd330 ), vplus( vd329, vd330 ) ), greater( vd328
% 0.82/1.20 , vd329 ) }.
% 0.82/1.20 { ! less( X, Y ), less( vplus( X, Z ), vplus( Y, Z ) ) }.
% 0.82/1.20 { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 0.82/1.20 { ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, Z ) ) }.
% 0.82/1.20 { greater( vplus( X, Y ), X ) }.
% 0.82/1.20 { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y ) }.
% 0.82/1.20 { ! less( Z, Y ), ! leq( X, Z ), less( X, Y ) }.
% 0.82/1.20 { ! leq( Z, Y ), ! less( X, Z ), less( X, Y ) }.
% 0.82/1.20 { ! less( Z, Y ), ! less( X, Z ), less( X, Y ) }.
% 0.82/1.20 { ! leq( X, Y ), geq( Y, X ) }.
% 0.82/1.20 { ! geq( X, Y ), leq( Y, X ) }.
% 0.82/1.20 { ! leq( Y, X ), less( Y, X ), Y = X }.
% 0.82/1.20 { ! less( Y, X ), leq( Y, X ) }.
% 0.82/1.20 { ! Y = X, leq( Y, X ) }.
% 0.82/1.20 { ! geq( Y, X ), greater( Y, X ), Y = X }.
% 0.82/1.20 { ! greater( Y, X ), geq( Y, X ) }.
% 0.82/1.20 { ! Y = X, geq( Y, X ) }.
% 0.82/1.20 { ! less( X, Y ), greater( Y, X ) }.
% 0.82/1.20 { ! greater( X, Y ), less( Y, X ) }.
% 0.82/1.20 { X = Y, greater( X, Y ), less( X, Y ) }.
% 0.82/1.20 { ! X = Y, ! less( X, Y ) }.
% 0.82/1.20 { ! greater( X, Y ), ! less( X, Y ) }.
% 0.82/1.20 { ! X = Y, ! greater( X, Y ) }.
% 0.82/1.20 { ! less( Y, X ), X = vplus( Y, skol1( X, Y ) ) }.
% 0.82/1.20 { ! X = vplus( Y, Z ), less( Y, X ) }.
% 0.82/1.20 { ! greater( Y, X ), Y = vplus( X, skol2( X, Y ) ) }.
% 0.82/1.20 { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 0.82/1.20 { X = Y, X = vplus( Y, skol3( X, Y ) ), Y = vplus( X, skol4( X, Y ) ) }.
% 0.82/1.20 { ! X = Y, ! Y = vplus( X, Z ) }.
% 0.82/1.20 { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 0.82/1.20 { ! X = Y, ! X = vplus( Y, Z ) }.
% 0.82/1.20 { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 0.82/1.20 { ! Y = vplus( X, Y ) }.
% 0.82/1.20 { vplus( Y, X ) = vplus( X, Y ) }.
% 0.82/1.20 { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y ) ) }.
% 0.82/1.20 { vplus( v1, X ) = vsucc( X ) }.
% 0.82/1.20 { vplus( vplus( X, Y ), Z ) = vplus( X, vplus( Y, Z ) ) }.
% 0.82/1.20 { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y ) ) }.
% 0.82/1.20 { vplus( X, v1 ) = vsucc( X ) }.
% 0.82/1.20 { X = v1, X = vsucc( vskolem2( X ) ) }.
% 0.82/1.20 { ! vsucc( X ) = X }.
% 0.82/1.20 { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 0.82/1.20 { ! vsucc( X ) = vsucc( Y ), X = Y }.
% 0.82/1.20 { ! vsucc( X ) = v1 }.
% 0.82/1.20
% 0.82/1.20 percentage equality = 0.443182, percentage horn = 0.891304
% 0.82/1.20 This is a problem with some equality
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Options Used:
% 0.82/1.20
% 0.82/1.20 useres = 1
% 0.82/1.20 useparamod = 1
% 0.82/1.20 useeqrefl = 1
% 0.82/1.20 useeqfact = 1
% 0.82/1.20 usefactor = 1
% 0.82/1.20 usesimpsplitting = 0
% 0.82/1.20 usesimpdemod = 5
% 0.82/1.20 usesimpres = 3
% 0.82/1.20
% 0.82/1.20 resimpinuse = 1000
% 0.82/1.20 resimpclauses = 20000
% 0.82/1.20 substype = eqrewr
% 0.82/1.20 backwardsubs = 1
% 0.82/1.20 selectoldest = 5
% 0.82/1.20
% 0.82/1.20 litorderings [0] = split
% 0.82/1.20 litorderings [1] = extend the termordering, first sorting on arguments
% 0.82/1.20
% 0.82/1.20 termordering = kbo
% 0.82/1.20
% 0.82/1.20 litapriori = 0
% 0.82/1.20 termapriori = 1
% 0.82/1.20 litaposteriori = 0
% 0.82/1.20 termaposteriori = 0
% 0.82/1.20 demodaposteriori = 0
% 0.82/1.20 ordereqreflfact = 0
% 0.82/1.20
% 0.82/1.20 litselect = negord
% 0.82/1.20
% 0.82/1.20 maxweight = 15
% 0.82/1.20 maxdepth = 30000
% 0.82/1.20 maxlength = 115
% 0.82/1.20 maxnrvars = 195
% 0.82/1.20 excuselevel = 1
% 0.82/1.20 increasemaxweight = 1
% 0.82/1.20
% 0.82/1.20 maxselected = 10000000
% 0.82/1.20 maxnrclauses = 10000000
% 0.82/1.20
% 0.82/1.20 showgenerated = 0
% 0.82/1.20 showkept = 0
% 0.82/1.20 showselected = 0
% 0.82/1.20 showdeleted = 0
% 0.82/1.20 showresimp = 1
% 0.82/1.20 showstatus = 2000
% 0.82/1.20
% 0.82/1.20 prologoutput = 0
% 0.82/1.20 nrgoals = 5000000
% 0.82/1.20 totalproof = 1
% 0.82/1.20
% 0.82/1.20 Symbols occurring in the translation:
% 0.82/1.20
% 0.82/1.20 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.82/1.20 . [1, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.82/1.20 ! [4, 1] (w:0, o:70, a:1, s:1, b:0),
% 0.82/1.20 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.20 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.20 vd328 [35, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.82/1.20 vd329 [36, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.82/1.20 less [37, 2] (w:1, o:101, a:1, s:1, b:0),
% 0.82/1.20 vd330 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.82/1.20 vplus [39, 2] (w:1, o:102, a:1, s:1, b:0),
% 0.82/1.20 greater [40, 2] (w:1, o:103, a:1, s:1, b:0),
% 0.82/1.20 leq [49, 2] (w:1, o:104, a:1, s:1, b:0),
% 0.82/1.20 geq [58, 2] (w:1, o:105, a:1, s:1, b:0),
% 0.82/1.20 vsucc [90, 1] (w:1, o:75, a:1, s:1, b:0),
% 0.82/1.20 v1 [92, 0] (w:1, o:69, a:1, s:1, b:0),
% 0.82/1.20 vskolem2 [99, 1] (w:1, o:76, a:1, s:1, b:0),
% 0.82/1.20 skol1 [106, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.82/1.20 skol2 [107, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.82/1.20 skol3 [108, 2] (w:1, o:108, a:1, s:1, b:1),
% 0.82/1.20 skol4 [109, 2] (w:1, o:109, a:1, s:1, b:1).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Starting Search:
% 0.82/1.20
% 0.82/1.20 *** allocated 15000 integers for clauses
% 0.82/1.20 *** allocated 22500 integers for clauses
% 0.82/1.20 *** allocated 33750 integers for clauses
% 0.82/1.20 *** allocated 50625 integers for clauses
% 0.82/1.20 *** allocated 15000 integers for termspace/termends
% 0.82/1.20 *** allocated 75937 integers for clauses
% 0.82/1.20 Resimplifying inuse:
% 0.82/1.20 Done
% 0.82/1.20
% 0.82/1.20 *** allocated 22500 integers for termspace/termends
% 0.82/1.20 *** allocated 113905 integers for clauses
% 0.82/1.20 *** allocated 33750 integers for termspace/termends
% 0.82/1.20
% 0.82/1.20 Intermediate Status:
% 0.82/1.20 Generated: 5051
% 0.82/1.20 Kept: 2009
% 0.82/1.20 Inuse: 136
% 0.82/1.20 Deleted: 3
% 0.82/1.20 Deletedinuse: 2
% 0.82/1.20
% 0.82/1.20 Resimplifying inuse:
% 0.82/1.20 Done
% 0.82/1.20
% 0.82/1.20 *** allocated 170857 integers for clauses
% 0.82/1.20
% 0.82/1.20 Bliksems!, er is een bewijs:
% 0.82/1.20 % SZS status Theorem
% 0.82/1.20 % SZS output start Refutation
% 0.82/1.20
% 0.82/1.20 (0) {G0,W3,D2,L1,V0,M1} I { ! less( vd328, vd329 ) }.
% 0.82/1.20 (1) {G0,W7,D3,L1,V0,M1} I { less( vplus( vd328, vd330 ), vplus( vd329,
% 0.82/1.20 vd330 ) ) }.
% 0.82/1.20 (2) {G0,W10,D3,L2,V0,M2} I { ! vplus( vd329, vd330 ) ==> vplus( vd328,
% 0.82/1.20 vd330 ), vd329 ==> vd328 }.
% 0.82/1.20 (5) {G0,W10,D3,L2,V3,M2} I { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 0.82/1.20 (6) {G0,W10,D3,L2,V3,M2} I { ! greater( X, Y ), greater( vplus( X, Z ),
% 0.82/1.20 vplus( Y, Z ) ) }.
% 0.82/1.20 (10) {G0,W9,D2,L3,V3,M3} I { ! leq( Z, Y ), ! less( X, Z ), less( X, Y )
% 0.82/1.20 }.
% 0.82/1.20 (12) {G0,W6,D2,L2,V2,M2} I { ! leq( X, Y ), geq( Y, X ) }.
% 0.82/1.20 (13) {G0,W6,D2,L2,V2,M2} I { ! geq( X, Y ), leq( Y, X ) }.
% 0.82/1.20 (14) {G0,W9,D2,L3,V2,M3} I { ! leq( Y, X ), less( Y, X ), Y = X }.
% 0.82/1.20 (15) {G0,W6,D2,L2,V2,M2} I { ! less( Y, X ), leq( Y, X ) }.
% 0.82/1.20 (16) {G0,W6,D2,L2,V2,M2} I { ! Y = X, leq( Y, X ) }.
% 0.82/1.20 (19) {G0,W6,D2,L2,V2,M2} I { ! Y = X, geq( Y, X ) }.
% 0.82/1.20 (22) {G0,W9,D2,L3,V2,M3} I { X = Y, greater( X, Y ), less( X, Y ) }.
% 0.82/1.20 (23) {G0,W6,D2,L2,V2,M2} I { ! X = Y, ! less( X, Y ) }.
% 0.82/1.20 (24) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), ! less( X, Y ) }.
% 0.82/1.20 (47) {G1,W3,D2,L1,V1,M1} Q(23) { ! less( X, X ) }.
% 0.82/1.20 (55) {G1,W7,D3,L1,V0,M1} R(24,1) { ! greater( vplus( vd328, vd330 ), vplus
% 0.82/1.20 ( vd329, vd330 ) ) }.
% 0.82/1.20 (79) {G1,W13,D3,L3,V1,M3} P(5,2) { ! vplus( X, vd330 ) = vplus( vd328,
% 0.82/1.20 vd330 ), vd329 ==> vd328, ! vd329 = X }.
% 0.82/1.20 (82) {G2,W6,D2,L2,V0,M2} Q(79) { vd329 ==> vd328, ! vd329 ==> vd328 }.
% 0.82/1.20 (116) {G3,W3,D2,L1,V0,M1} P(82,1);r(47) { ! vd329 ==> vd328 }.
% 0.82/1.20 (166) {G1,W6,D2,L2,V1,M2} R(10,0) { ! leq( X, vd329 ), ! less( vd328, X )
% 0.82/1.20 }.
% 0.82/1.20 (172) {G2,W6,D2,L2,V1,M2} R(166,13) { ! less( vd328, X ), ! geq( vd329, X )
% 0.82/1.20 }.
% 0.82/1.20 (221) {G1,W6,D2,L2,V0,M2} R(14,0) { ! leq( vd328, vd329 ), vd329 ==> vd328
% 0.82/1.20 }.
% 0.82/1.20 (251) {G4,W9,D2,L3,V1,M3} P(14,116) { ! X = vd328, ! leq( X, vd329 ), less
% 0.82/1.20 ( X, vd329 ) }.
% 0.82/1.20 (299) {G5,W3,D2,L1,V0,M1} Q(251);d(221);r(166) { ! leq( vd328, vd329 ) }.
% 0.82/1.20 (302) {G6,W3,D2,L1,V0,M1} R(299,13) { ! geq( vd329, vd328 ) }.
% 0.82/1.20 (308) {G7,W6,D2,L2,V1,M2} P(14,302);r(172) { ! geq( vd329, X ), ! leq(
% 0.82/1.20 vd328, X ) }.
% 0.82/1.20 (310) {G8,W6,D2,L2,V1,M2} R(308,13) { ! geq( vd329, X ), ! geq( X, vd328 )
% 0.82/1.20 }.
% 0.82/1.20 (318) {G9,W6,D2,L2,V1,M2} R(310,12) { ! geq( X, vd328 ), ! leq( X, vd329 )
% 0.82/1.20 }.
% 0.82/1.20 (436) {G10,W6,D2,L2,V1,M2} R(318,19) { ! leq( X, vd329 ), ! X = vd328 }.
% 0.82/1.20 (446) {G11,W6,D2,L2,V1,M2} R(436,15) { ! X = vd328, ! less( X, vd329 ) }.
% 0.82/1.20 (447) {G11,W6,D2,L2,V1,M2} R(436,16) { ! X = vd328, ! X = vd329 }.
% 0.82/1.20 (474) {G12,W6,D2,L2,V1,M2} R(22,446);r(447) { greater( X, vd329 ), ! X =
% 0.82/1.20 vd328 }.
% 0.82/1.20 (622) {G13,W3,D2,L1,V0,M1} Q(474) { greater( vd328, vd329 ) }.
% 0.82/1.20 (624) {G14,W7,D3,L1,V1,M1} R(622,6) { greater( vplus( vd328, X ), vplus(
% 0.82/1.20 vd329, X ) ) }.
% 0.82/1.20 (2613) {G15,W0,D0,L0,V0,M0} S(55);r(624) { }.
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 % SZS output end Refutation
% 0.82/1.20 found a proof!
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Unprocessed initial clauses:
% 0.82/1.20
% 0.82/1.20 (2615) {G0,W3,D2,L1,V0,M1} { ! less( vd328, vd329 ) }.
% 0.82/1.20 (2616) {G0,W7,D3,L1,V0,M1} { less( vplus( vd328, vd330 ), vplus( vd329,
% 0.82/1.20 vd330 ) ) }.
% 0.82/1.20 (2617) {G0,W10,D3,L2,V0,M2} { ! vplus( vd328, vd330 ) = vplus( vd329,
% 0.82/1.20 vd330 ), vd328 = vd329 }.
% 0.82/1.20 (2618) {G0,W10,D3,L2,V0,M2} { ! greater( vplus( vd328, vd330 ), vplus(
% 0.82/1.20 vd329, vd330 ) ), greater( vd328, vd329 ) }.
% 0.82/1.20 (2619) {G0,W10,D3,L2,V3,M2} { ! less( X, Y ), less( vplus( X, Z ), vplus(
% 0.82/1.20 Y, Z ) ) }.
% 0.82/1.20 (2620) {G0,W10,D3,L2,V3,M2} { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 0.82/1.20 (2621) {G0,W10,D3,L2,V3,M2} { ! greater( X, Y ), greater( vplus( X, Z ),
% 0.82/1.20 vplus( Y, Z ) ) }.
% 0.82/1.20 (2622) {G0,W5,D3,L1,V2,M1} { greater( vplus( X, Y ), X ) }.
% 0.82/1.20 (2623) {G0,W9,D2,L3,V3,M3} { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y ) }.
% 0.82/1.20 (2624) {G0,W9,D2,L3,V3,M3} { ! less( Z, Y ), ! leq( X, Z ), less( X, Y )
% 0.82/1.20 }.
% 0.82/1.20 (2625) {G0,W9,D2,L3,V3,M3} { ! leq( Z, Y ), ! less( X, Z ), less( X, Y )
% 0.82/1.20 }.
% 0.82/1.20 (2626) {G0,W9,D2,L3,V3,M3} { ! less( Z, Y ), ! less( X, Z ), less( X, Y )
% 0.82/1.20 }.
% 0.82/1.20 (2627) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), geq( Y, X ) }.
% 0.82/1.20 (2628) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 0.82/1.20 (2629) {G0,W9,D2,L3,V2,M3} { ! leq( Y, X ), less( Y, X ), Y = X }.
% 0.82/1.20 (2630) {G0,W6,D2,L2,V2,M2} { ! less( Y, X ), leq( Y, X ) }.
% 0.82/1.20 (2631) {G0,W6,D2,L2,V2,M2} { ! Y = X, leq( Y, X ) }.
% 0.82/1.20 (2632) {G0,W9,D2,L3,V2,M3} { ! geq( Y, X ), greater( Y, X ), Y = X }.
% 0.82/1.20 (2633) {G0,W6,D2,L2,V2,M2} { ! greater( Y, X ), geq( Y, X ) }.
% 0.82/1.20 (2634) {G0,W6,D2,L2,V2,M2} { ! Y = X, geq( Y, X ) }.
% 0.82/1.20 (2635) {G0,W6,D2,L2,V2,M2} { ! less( X, Y ), greater( Y, X ) }.
% 0.82/1.20 (2636) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), less( Y, X ) }.
% 0.82/1.20 (2637) {G0,W9,D2,L3,V2,M3} { X = Y, greater( X, Y ), less( X, Y ) }.
% 0.82/1.20 (2638) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! less( X, Y ) }.
% 0.82/1.20 (2639) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), ! less( X, Y ) }.
% 0.82/1.20 (2640) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! greater( X, Y ) }.
% 0.82/1.20 (2641) {G0,W10,D4,L2,V2,M2} { ! less( Y, X ), X = vplus( Y, skol1( X, Y )
% 0.82/1.20 ) }.
% 0.82/1.20 (2642) {G0,W8,D3,L2,V3,M2} { ! X = vplus( Y, Z ), less( Y, X ) }.
% 0.82/1.20 (2643) {G0,W10,D4,L2,V2,M2} { ! greater( Y, X ), Y = vplus( X, skol2( X, Y
% 0.82/1.20 ) ) }.
% 0.82/1.20 (2644) {G0,W8,D3,L2,V3,M2} { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 0.82/1.20 (2645) {G0,W17,D4,L3,V2,M3} { X = Y, X = vplus( Y, skol3( X, Y ) ), Y =
% 0.82/1.20 vplus( X, skol4( X, Y ) ) }.
% 0.82/1.20 (2646) {G0,W8,D3,L2,V3,M2} { ! X = Y, ! Y = vplus( X, Z ) }.
% 0.82/1.20 (2647) {G0,W10,D3,L2,V4,M2} { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 0.82/1.20 (2648) {G0,W8,D3,L2,V3,M2} { ! X = Y, ! X = vplus( Y, Z ) }.
% 0.82/1.20 (2649) {G0,W10,D3,L2,V3,M2} { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 0.82/1.20 (2650) {G0,W5,D3,L1,V2,M1} { ! Y = vplus( X, Y ) }.
% 0.82/1.20 (2651) {G0,W7,D3,L1,V2,M1} { vplus( Y, X ) = vplus( X, Y ) }.
% 0.82/1.20 (2652) {G0,W9,D4,L1,V2,M1} { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y )
% 0.82/1.20 ) }.
% 0.82/1.20 (2653) {G0,W6,D3,L1,V1,M1} { vplus( v1, X ) = vsucc( X ) }.
% 0.82/1.20 (2654) {G0,W11,D4,L1,V3,M1} { vplus( vplus( X, Y ), Z ) = vplus( X, vplus
% 0.82/1.20 ( Y, Z ) ) }.
% 0.82/1.20 (2655) {G0,W9,D4,L1,V2,M1} { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y )
% 0.82/1.20 ) }.
% 0.82/1.20 (2656) {G0,W6,D3,L1,V1,M1} { vplus( X, v1 ) = vsucc( X ) }.
% 0.82/1.20 (2657) {G0,W8,D4,L2,V1,M2} { X = v1, X = vsucc( vskolem2( X ) ) }.
% 0.82/1.20 (2658) {G0,W4,D3,L1,V1,M1} { ! vsucc( X ) = X }.
% 0.82/1.20 (2659) {G0,W8,D3,L2,V2,M2} { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 0.82/1.20 (2660) {G0,W8,D3,L2,V2,M2} { ! vsucc( X ) = vsucc( Y ), X = Y }.
% 0.82/1.20 (2661) {G0,W4,D3,L1,V1,M1} { ! vsucc( X ) = v1 }.
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Total Proof:
% 0.82/1.20
% 0.82/1.20 subsumption: (0) {G0,W3,D2,L1,V0,M1} I { ! less( vd328, vd329 ) }.
% 0.82/1.20 parent0: (2615) {G0,W3,D2,L1,V0,M1} { ! less( vd328, vd329 ) }.
% 0.82/1.20 substitution0:
% 0.82/1.20 end
% 0.82/1.20 permutation0:
% 0.82/1.20 0 ==> 0
% 0.82/1.20 end
% 0.82/1.20
% 0.82/1.20 subsumption: (1) {G0,W7,D3,L1,V0,M1} I { less( vplus( vd328, vd330 ), vplus
% 0.82/1.20 ( vd329, vd330 ) ) }.
% 0.82/1.20 parent0: (2616) {G0,W7,D3,L1,V0,M1} { less( vplus( vd328, vd330 ), vplus(
% 0.82/1.20 vd329, vd330 ) ) }.
% 0.82/1.20 substitution0:
% 0.82/1.20 end
% 0.82/1.20 permutation0:
% 0.82/1.20 0 ==> 0
% 0.82/1.20 end
% 0.82/1.20
% 0.82/1.20 eqswap: (2663) {G0,W10,D3,L2,V0,M2} { vd329 = vd328, ! vplus( vd328, vd330
% 0.82/1.20 ) = vplus( vd329, vd330 ) }.
% 0.82/1.20 parent0[1]: (2617) {G0,W10,D3,L2,V0,M2} { ! vplus( vd328, vd330 ) = vplus
% 0.82/1.20 ( vd329, vd330 ), vd328 = vd329 }.
% 0.82/1.20 substitution0:
% 0.82/1.20 end
% 0.82/1.20
% 0.82/1.20 eqswap: (2664) {G0,W10,D3,L2,V0,M2} { ! vplus( vd329, vd330 ) = vplus(
% 0.82/1.20 vd328, vd330 ), vd329 = vd328 }.
% 0.82/1.20 parent0[1]: (2663) {G0,W10,D3,L2,V0,M2} { vd329 = vd328, ! vplus( vd328,
% 0.82/1.20 vd330 ) = vplus( vd329, vd330 ) }.
% 0.82/1.20 substitution0:
% 0.82/1.20 end
% 0.82/1.20
% 0.82/1.20 subsumption: (2) {G0,W10,D3,L2,V0,M2} I { ! vplus( vd329, vd330 ) ==> vplus
% 0.82/1.20 ( vd328, vd330 ), vd329 ==> vd328 }.
% 0.82/1.20 parent0: (2664) {G0,W10,D3,L2,V0,M2} { ! vplus( vd329, vd330 ) = vplus(
% 0.82/1.20 vd328, vd330 ), vd329 = vd328 }.
% 0.82/1.20 substitution0:
% 0.82/1.20 end
% 0.82/1.20 permutation0:
% 0.82/1.20 0 ==> 0
% 0.82/1.20 1 ==> 1
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 *** allocated 50625 integers for termspace/termends
% 0.87/1.27 subsumption: (5) {G0,W10,D3,L2,V3,M2} I { ! X = Y, vplus( X, Z ) = vplus( Y
% 0.87/1.27 , Z ) }.
% 0.87/1.27 parent0: (2620) {G0,W10,D3,L2,V3,M2} { ! X = Y, vplus( X, Z ) = vplus( Y,
% 0.87/1.27 Z ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 Z := Z
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 1 ==> 1
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (6) {G0,W10,D3,L2,V3,M2} I { ! greater( X, Y ), greater( vplus
% 0.87/1.27 ( X, Z ), vplus( Y, Z ) ) }.
% 0.87/1.27 parent0: (2621) {G0,W10,D3,L2,V3,M2} { ! greater( X, Y ), greater( vplus(
% 0.87/1.27 X, Z ), vplus( Y, Z ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 Z := Z
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 1 ==> 1
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (10) {G0,W9,D2,L3,V3,M3} I { ! leq( Z, Y ), ! less( X, Z ),
% 0.87/1.27 less( X, Y ) }.
% 0.87/1.27 parent0: (2625) {G0,W9,D2,L3,V3,M3} { ! leq( Z, Y ), ! less( X, Z ), less
% 0.87/1.27 ( X, Y ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 Z := Z
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 1 ==> 1
% 0.87/1.27 2 ==> 2
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (12) {G0,W6,D2,L2,V2,M2} I { ! leq( X, Y ), geq( Y, X ) }.
% 0.87/1.27 parent0: (2627) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), geq( Y, X ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 1 ==> 1
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (13) {G0,W6,D2,L2,V2,M2} I { ! geq( X, Y ), leq( Y, X ) }.
% 0.87/1.27 parent0: (2628) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 1 ==> 1
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (14) {G0,W9,D2,L3,V2,M3} I { ! leq( Y, X ), less( Y, X ), Y =
% 0.87/1.27 X }.
% 0.87/1.27 parent0: (2629) {G0,W9,D2,L3,V2,M3} { ! leq( Y, X ), less( Y, X ), Y = X
% 0.87/1.27 }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 1 ==> 1
% 0.87/1.27 2 ==> 2
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (15) {G0,W6,D2,L2,V2,M2} I { ! less( Y, X ), leq( Y, X ) }.
% 0.87/1.27 parent0: (2630) {G0,W6,D2,L2,V2,M2} { ! less( Y, X ), leq( Y, X ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 1 ==> 1
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (16) {G0,W6,D2,L2,V2,M2} I { ! Y = X, leq( Y, X ) }.
% 0.87/1.27 parent0: (2631) {G0,W6,D2,L2,V2,M2} { ! Y = X, leq( Y, X ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 1 ==> 1
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (19) {G0,W6,D2,L2,V2,M2} I { ! Y = X, geq( Y, X ) }.
% 0.87/1.27 parent0: (2634) {G0,W6,D2,L2,V2,M2} { ! Y = X, geq( Y, X ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 1 ==> 1
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (22) {G0,W9,D2,L3,V2,M3} I { X = Y, greater( X, Y ), less( X,
% 0.87/1.27 Y ) }.
% 0.87/1.27 parent0: (2637) {G0,W9,D2,L3,V2,M3} { X = Y, greater( X, Y ), less( X, Y )
% 0.87/1.27 }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 1 ==> 1
% 0.87/1.27 2 ==> 2
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (23) {G0,W6,D2,L2,V2,M2} I { ! X = Y, ! less( X, Y ) }.
% 0.87/1.27 parent0: (2638) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! less( X, Y ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 1 ==> 1
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (24) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), ! less( X, Y )
% 0.87/1.27 }.
% 0.87/1.27 parent0: (2639) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), ! less( X, Y )
% 0.87/1.27 }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 1 ==> 1
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqswap: (2757) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! less( X, Y ) }.
% 0.87/1.27 parent0[0]: (23) {G0,W6,D2,L2,V2,M2} I { ! X = Y, ! less( X, Y ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := Y
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 eqrefl: (2758) {G0,W3,D2,L1,V1,M1} { ! less( X, X ) }.
% 0.87/1.27 parent0[0]: (2757) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! less( X, Y ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 Y := X
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (47) {G1,W3,D2,L1,V1,M1} Q(23) { ! less( X, X ) }.
% 0.87/1.27 parent0: (2758) {G0,W3,D2,L1,V1,M1} { ! less( X, X ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := X
% 0.87/1.27 end
% 0.87/1.27 permutation0:
% 0.87/1.27 0 ==> 0
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 resolution: (2759) {G1,W7,D3,L1,V0,M1} { ! greater( vplus( vd328, vd330 )
% 0.87/1.27 , vplus( vd329, vd330 ) ) }.
% 0.87/1.27 parent0[1]: (24) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), ! less( X, Y )
% 0.87/1.27 }.
% 0.87/1.27 parent1[0]: (1) {G0,W7,D3,L1,V0,M1} I { less( vplus( vd328, vd330 ), vplus
% 0.87/1.27 ( vd329, vd330 ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 X := vplus( vd328, vd330 )
% 0.87/1.27 Y := vplus( vd329, vd330 )
% 0.87/1.27 end
% 0.87/1.27 substitution1:
% 0.87/1.27 end
% 0.87/1.27
% 0.87/1.27 subsumption: (55) {G1,W7,D3,L1,V0,M1} R(24,1) { ! greater( vplus( vd328,
% 0.87/1.27 vd330 ), vplus( vd329, vd330 ) ) }.
% 0.87/1.27 parent0: (2759) {G1,W7,D3,L1,V0,M1} { ! greater( vplus( vd328, vd330 ),
% 0.87/1.27 vplus( vd329, vd330 ) ) }.
% 0.87/1.27 substitution0:
% 0.87/1.27 endCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------